Geodesic
Acceleration of multiple iterative solution of linear algebraic systems in computing the capacitance of a~microstrip line in a~wide range of its sizes
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 32-41

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Multiple solution of systems of linear algebraic equations by the BiCGStab method is considered. For the problem of computing the capacitance matrix of a microstrip line in a range of its sizes, two acceleration methods are suggested. The first one consists in using the solution of a previous system as the initial guess for the current system. The second one consists in applying to all systems a preconditioner computed for the first system. The efficiency of these acceleration methods in solving a large series of linear systems with small changes in arbitrary matrix entries is demonstrated on numerical experiments. 
@article{ZNSL_2014_428_a2,
     author = {R. R. Akhunov and S. P. Kuksenko and T. R. Gazizov},
     title = {Acceleration of multiple iterative solution of linear algebraic systems in computing the capacitance of a~microstrip line in a~wide range of its sizes},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {32--41},
     publisher = {mathdoc},
     volume = {428},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a2/}
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R. R. Akhunov; S. P. Kuksenko; T. R. Gazizov. Acceleration of multiple iterative solution of linear algebraic systems in computing the capacitance of a~microstrip line in a~wide range of its sizes. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XXVII, Tome 428 (2014), pp. 32-41. http://geodesic.mathdoc.fr/item/ZNSL_2014_428_a2/